Multiplier ideals and modules on toric varieties. (English) Zbl 1061.14055

The author generalizes a formula of J. A. Howald [Trans. Am. Math. Soc. 353, No. 7, 2665–2671 (2001; Zbl 0979.13026)] for the multiplier ideal of monomial ideals in a polynomial ring to the case of torus invariant ideals in an arbitrary (normal) toric variety. Variants for the multiplier module and test ideals are also treated.


14M25 Toric varieties, Newton polyhedra, Okounkov bodies
14J17 Singularities of surfaces or higher-dimensional varieties
13A35 Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure


Zbl 0979.13026
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